Cellular Automata Rules and Linear Numbers
Cellular Automata and Lattice Gases
2012-09-04 v2 Dynamical Systems
Abstract
In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules are derived. Integers associated with linear CA rules are defined as linear numbers and the properties of these linear numbers are studied.
Keywords
Cite
@article{arxiv.1204.3999,
title = {Cellular Automata Rules and Linear Numbers},
author = {Birendra Kumar Nayak and Sudhakar Sahoo and Sagarika Biswal},
journal= {arXiv preprint arXiv:1204.3999},
year = {2012}
}
Comments
7 pages and 3 figures